Highest Common Factor of 3589, 7548 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3589, 7548 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 3589, 7548 is 37 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3589, 7548 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3589, 7548 is 37.
HCF(3589, 7548) = 37
HCF of 3589, 7548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3589, 7548 is 37.
Highest Common Factor of 3589,7548 is 37
Step 1: Since 7548 > 3589, we apply the division lemma to 7548 and 3589, to get
7548 = 3589 x 2 + 370
Step 2: Since the reminder 3589 ≠ 0, we apply division lemma to 370 and 3589, to get
3589 = 370 x 9 + 259
Step 3: We consider the new divisor 370 and the new remainder 259, and apply the division lemma to get
370 = 259 x 1 + 111
We consider the new divisor 259 and the new remainder 111,and apply the division lemma to get
259 = 111 x 2 + 37
We consider the new divisor 111 and the new remainder 37,and apply the division lemma to get
111 = 37 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 3589 and 7548 is 37
Notice that 37 = HCF(111,37) = HCF(259,111) = HCF(370,259) = HCF(3589,370) = HCF(7548,3589) .
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Frequently Asked Questions on HCF of 3589, 7548 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3589, 7548?
Answer: HCF of 3589, 7548 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3589, 7548 using Euclid's Algorithm?
Answer: For arbitrary numbers 3589, 7548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.